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Finding the Fourth Proportional to 8,281.82, 11,429.20 and 4,696.74

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Solution

The fourth proportional to 8,281.82, 11,429.20 and 4,696.74 is: 6,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.82 : 11,429.20 = 4,696.74 : x
  2. Step 2: Convert to fraction form
    8,281.82/11,429.20 = 4,696.74/x
  3. Step 3: Cross multiply
    8,281.82x = 11,429.20 × 4,696.74
  4. Step 4: Simplify right side
    8,281.82x = 53,679,980.81
  5. Step 5: Solve for x
    x = 53,679,980.81/8,281.82
  6. Step 6: Final answer
    x = 6,481.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.